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444341067700 = 225229171523281
BaseRepresentation
bin1100111011101001100…
…10101001111110110100
31120110220220002222212111
412131310302221332310
524240002303131300
6540043311100404
744050120520605
oct6356462517664
91513826088774
10444341067700
11161497a488a2
1272148b11704
1332b93b8b8ca
1417713107dac
15b8595779ba
hex6774ca9fb4

444341067700 has 36 divisors (see below), whose sum is σ = 964551302092. Its totient is φ = 177675379200.

The previous prime is 444341067691. The next prime is 444341067767. The reversal of 444341067700 is 7760143444.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 236113956 + 444104953744 = 15366^2 + 666412^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469941 + ... + 1053340.

Almost surely, 2444341067700 is an apocalyptic number.

It is an amenable number.

444341067700 is an abundant number, since it is smaller than the sum of its proper divisors (520210234392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444341067700 is a wasteful number, since it uses less digits than its factorization.

444341067700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526212 (or 1526205 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 444341067700 in words is "four hundred forty-four billion, three hundred forty-one million, sixty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2917 5834 11668 14585 29170 58340 72925 145850 291700 1523281 3046562 6093124 7616405 15232810 30465620 38082025 76164050 152328100 4443410677 8886821354 17773642708 22217053385 44434106770 88868213540 111085266925 222170533850 444341067700